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Simplifying (x + -11) * 2 + (y + 6) * 2 = 81 Reorder the terms: (-11 + x) * 2 + (y + 6) * 2 = 81 Reorder the terms for easier multiplication: 2(-11 + x) + (y + 6) * 2 = 81 (-11 * 2 + x * 2) + (y + 6) * 2 = 81 (-22 + 2x) + (y + 6) * 2 = 81 Reorder the terms: -22 + 2x + (6 + y) * 2 = 81 Reorder the terms for easier multiplication: -22 + 2x + 2(6 + y) = 81 -22 + 2x + (6 * 2 + y * 2) = 81 -22 + 2x + (12 + 2y) = 81 Reorder the terms: -22 + 12 + 2x + 2y = 81 Combine like terms: -22 + 12 = -10 -10 + 2x + 2y = 81 Solving -10 + 2x + 2y = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + 2y = 81 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 81 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 81 + 10 2x + 2y = 81 + 10 Combine like terms: 81 + 10 = 91 2x + 2y = 91 Add '-2y' to each side of the equation. 2x + 2y + -2y = 91 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 91 + -2y 2x = 91 + -2y Divide each side by '2'. x = 45.5 + -1y Simplifying x = 45.5 + -1y
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